Factoring Trinomials (a=1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the first step in factoring a trinomial when a=1?

Back

Identify two numbers that multiply to c and add to b.

Front

Factor the trinomial: x² + 12x + 36

Back

(x + 6)(x + 6)

Front

Factor the trinomial: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the trinomial: a² - a - 12

Back

(a - 4)(a + 3)

Front

Factor the trinomial: k² + 3k - 10

Back

(k - 2)(k + 5)

Front

Factor the trinomial: p² + 18p + 45

Back

(p + 15)(p + 3)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x + 3) or (a - 5).